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An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.
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Containing many names or terms; multinominal; as, the polynomial theorem.
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An algebraic term. The sum of 2 or more monomials. Polynomials include variables and always have one or more terms.
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an expression consisting of one or more terms, including some variable(s). E.g. 3 x2 - 2 x + 1.
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A linear combination of powers of one or more independent variables.
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function in which the output is the sum of terms that are the products of constant values and the input raised to some integer power. The polynomial of a polynomial is another polynomial. From a time complexity point of view, polynomials are well-behaved.
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A mathematical expression that is a sum of terms, each term being a product of a constant and a non-negative (or zero) power of a variable or variables. For example
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a mathematical expression that is the sum of a number of terms
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having the character of a polynomial; "a polynomial expression"
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a finite sum of terms like a k x k , where k is a positive integer or zero
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a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient
,
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a mathematical expression involving a series of Powers in one or more variables multiplied by Coefficients
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a mathematical expression involving a sum of powers in one
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a mathematical expression involving exponents and expressions
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a monomial or a sum of monomials
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an algebraic expression containing powers of one or more variables
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an algebraic expression which is obtained when we express the sum of any non-similar monomials
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an equation with terms containing only constants and powers of the variables
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an expression that contains one or more algebraic terms, each consisting of a constant multiplied by a variable raised to a power greater than or equal to zero
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a sum of terms which are coefficients times various powers of a "base" variable
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In POV-Ray, an object that can be described in mathematical terms as the summation of the product of the position vector elements , and raised to some power and user-specified coefficients. Used to generated mathematically-defined objects. Also see quadric, cubic, and quartic. ( Tutorial) ( Language Reference)
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A polynomial is an expression of the formax + ... + bx + c.
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Function having the form f(x) = anxn + an-1xn-1 + ... + a1x1 + a0x0 , where an , an-1, etc. are constants and "n" is the degree or order of the polynomial. Example: f(x) = 2x3 - 4x2 + 2. In standard form this would be: f(x) = 2x3 - 4x2 + 0x1+2x0 .
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A curve of the form y = a + bx + cx² + dx³ + ex4 + ..., where a, b, c, etc. are constants, x and y variables. Good graphing software typically can fit a polynomial to the sixth power to a set of data.
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This term refers to a particular type of equation that is used as the basis for all B-spline curves and surfaces. A polynomial has the general form: F(x) = a0 + a1*x + a2*x^2 + a3*x^3 + ... The highest exponent value that is used (3, in this example), is called the degree of the polynomial (degree=3 is also called a cubic polynomial). The number of coefficients ('a' values) is the order of the polynomial. Order is always one more than degree.
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A monomial or the sum of monomials.
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To mathematicians, a polynomial in n is a sum of multiples of nonnegative integer powers of n: for example, 3n2-8n+4. To computer scientists, on the other hand, polynomial often means upper-bounded by a polynomial: so n+log(n), for example, is "polynomial." Also an adverb ("polynomially"). A function that grows polynomially is considered to be 'reasonable,' unlike, say, one that grows exponentially.
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In algebra, a sum of monomials; for example, 2 + 2 xy
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A polynomial is an algebraic expression that consists of a sum of terms. ( i ) 2 xy xy 3 + 2 xy + + 4 is a polynomial that consists of 6 terms. Terms: xy xy 3, 2 xy, Coefficients of the Terms: 2, 3, -5, 2, 1, 4 (4 is a constant.) Like terms are terms with identical variable expressions: 3 xy and 2 xy Unlike terms are terms with different variable expressions: 2 xy xy To simplify a polynomial is to collect like terms. After simplification, ( i ) becomes: ( ii ) 2 xy xy Some special polynomials: Monomial: Binomial: Trinomial: xy
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An algebraic expression with more than one term ( monomial)
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function that is a sum of power functions, with positive integer exponents, multiplied by constants, such as () = 3 - 2 2 + 4 + 7 = 1 3 + -2 2 + 4
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mathematical explanation for the aberrations created.
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A term or the sum of a finite number of terms.
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A finite sum of monomials.
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In algebra, a sum of monomials; for example, + 2xy + y .
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An algebraic expression consisting of one or more summed terms.
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In mathematics, a polynomial is an expression in which one or more variables and constants are combined using only addition, subtraction, multiplication, and non-negative whole number exponents (raising to a power).
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